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Finding the Fourth Proportional to 315,190.50, 434,962.89 and 202,013.25

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Solution

The fourth proportional to 315,190.50, 434,962.89 and 202,013.25 is: 278,778.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,190.50 : 434,962.89 = 202,013.25 : x
  2. Step 2: Convert to fraction form
    315,190.50/434,962.89 = 202,013.25/x
  3. Step 3: Cross multiply
    315,190.50x = 434,962.89 × 202,013.25
  4. Step 4: Simplify right side
    315,190.50x = 87,868,267,038.29
  5. Step 5: Solve for x
    x = 87,868,267,038.29/315,190.50
  6. Step 6: Final answer
    x = 278,778.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.